P(E or F)= (Simplify your answer.)

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**Problem:**

Find the probability of the indicated event if P(E) = 0.40 and P(F) = 0.50.

Find P(E or F) if P(E and F) = 0.05.

**Solution:**

\[ P(E \text{ or } F) = \_\_ \] (Simplify your answer.)

**Explanation:**

To find the probability of either event E or event F occurring, we use the formula for the union of two events:

\[ P(E \text{ or } F) = P(E) + P(F) - P(E \text{ and } F) \]

Substitute the given probabilities into the formula to find the final answer.
Transcribed Image Text:**Problem:** Find the probability of the indicated event if P(E) = 0.40 and P(F) = 0.50. Find P(E or F) if P(E and F) = 0.05. **Solution:** \[ P(E \text{ or } F) = \_\_ \] (Simplify your answer.) **Explanation:** To find the probability of either event E or event F occurring, we use the formula for the union of two events: \[ P(E \text{ or } F) = P(E) + P(F) - P(E \text{ and } F) \] Substitute the given probabilities into the formula to find the final answer.
Expert Solution
Step 1: Determine the given data in the question

Given that,

P left parenthesis E right parenthesis equals 0.40
P left parenthesis F right parenthesis equals 0.50
P left parenthesis E space a n d space F right parenthesis equals 0.05

To find the given probability.


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